Group of angles measures 43° = angle 1 , 3 , 5.
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Each pair of alternate angles around the transversal are equal to each other. The two angles can either be alternate interior angles or alternate exterior angles.
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.
Given : A pair of parallel lines is cut by a transversal.
To find : Which group of angles measures 43°.
Solution : We have given A pair of parallel lines is cut by a transversal.
∠1 + 137 ° = 180° ( Linear pair angle ) .
On subtracting both sides by 137
∠1 = 180 -137 .
∠1 = 43°.
then ,∠1 = ∠3 ( Vertically opposite angles) So , ∠3 = 43°.
Now , ∠3 = ∠5 ( Alternate interior angle ) .
So, ∠5 = 43°.
group of angles measures 43° = angle 1 , 3 , 5.
Therefore,C) Group of angles measures 43° = angle 1 , 3 , 5.
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